A carpenter is making doors that are 2058

2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 31

31 doors is made, and it is found that they have a mean of 2047

2047 millimeters with a variance of 625

625. Is there evidence at the 0.1

0.1 level that the doors are too short and unusable?

State the null and alternative hypotheses for the above scenario.